Boundedness in a three-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
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Publication:514389
DOI10.1016/j.crma.2016.12.005zbMath1359.92014OpenAlexW2563211914MaRDI QIDQ514389
Liangchen Wang, Ling Li, Xue-Gang Hu, Chun-Lai Mu
Publication date: 1 March 2017
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2016.12.005
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- On the boundedness and decay of solutions for a chemotaxis-haptotaxis system with nonlinear diffusion
- Boundedness in a multi-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Boundedness in a three-dimensional chemotaxis-haptotaxis model
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Exponential attractor for a chemotaxis-growth system of equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
- Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- On the global existence of solutions to an aggregation model
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
- Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Global solution for a chemotactic–haptotactic model of cancer invasion
- Heat kernels and maximal lp—lqestimates for parabolic evolution equations
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Dominance of chemotaxis in a chemotaxis–haptotaxis model
- A Chemotaxis System with Logistic Source
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source
- Large time behavior of solution to a fully parabolic chemotaxis-haptotaxis model in higher dimensions
